The second order bright line appears 0.50 cm from the center bright line when a double slit grating is used. The distance between the slits is 0.25 mm and the screen is 1.20 m from the grating. Find the wavelength of the light.

Respuesta :

Distance of nth bright fringe from center is given by :

[tex]y = \dfrac{n\lambda D}{d}[/tex]

Here, D is distance between screen and slit.

d is distance between two slits.

Now, wavelength is written as :

[tex]\lambda = \dfrac{yd}{nD}\\\\\lambda = \dfrac{0.005\times 0.25 \times 10^{-3}}{2\times 1.2}\\\\\lambda = 5.208\times 10^{-7} m = 520.8 \ nm[/tex]

Hence, this is the required solution.